1. 6-3 Percent of a Number Warm Up Problem of the Day Lesson Presentation
Course 2
Warm Up
Problem of the Day
Lesson Presentation

2. 6-3 Percent of a Number Warm Up Multiply. 1. 0.05  20 2. 0.32  15
Course 2
6-3
Percent of a Number
Warm Up
Multiply.
 20
 15
 25
 18
 76 1
4.8
1.5
13.5
25.84

3. 6-3 Percent of a Number Problem of the Day
Course 2
6-3
Percent of a Number
Problem of the Day
In a group of 60 triangular and square tiles, 25% are red, and 75% are blue. The ratio of triangles to squares is 1:2. Seventy percent of the squares are blue. Find the number of each kind of tile (red or blue squares or triangles).
3 red triangles, 17 blue triangles, 12 red squares, 28 blue squares

4. 6-3 Percent of a Number Learn to find the percent of a number.
Course 2
6-3
Percent of a Number
Learn to find the percent of a number.

5. 6-3 Percent of a Number Part 67 n = Whole 100 90
Course 2
6-3
Percent of a Number
The human body is made up mostly of water. In fact, about 67% of a person’s total (100%) body weight is water. If Cameron weighs 90 pounds, about how much of his weight is water?
Recall that a percent is a part of 100. Since you want to know the part of Cameron’s body that is water, you can set up and solve a proportion to find the answer.
Part 67 = n
100 90
Whole

6. Additional Example 1A: Using Proportions to Find Percents of Numbers
Course 2
6-3
Percent of a Number
Additional Example 1A: Using Proportions to Find Percents of Numbers
Find the percent of each number.
A. 30% of 50 30
100 n 50 =
Write a proportion.
30 · 50 = 100 · n
Set the cross products equal.
1,500 = 100n
Multiply.
1,500
100n
Divide each side by 100 to isolate
the variable. =
100
100
15 = n
30% of 50 is 15.

7. Course 2
6-3
Percent of a Number
When solving a problem with a percent greater than 100%, the part will be greater than the whole.
Helpful Hint

8. Additional Example 1B: Using Proportions to Find Percents of Numbers
Course 2
6-3
Percent of a Number
Additional Example 1B: Using Proportions to Find Percents of Numbers
Find the percent of each number.
B. 200% of 24
200
100 n 24 =
Write a proportion.
200 · 24 = 100 · n
Set the cross products equal.
4,800 = 100n
Multiply.
4,800
100n
Divide each side by 100 to isolate
the variable. =
100
100
48 = n
200% of 24 is 48.

9. 6-3 Percent of a Number Try This: Example 1A
Course 2
6-3
Percent of a Number
Try This: Example 1A
Find the percent of each number.
A. 40% of 40 40
100 n 40 =
Write a proportion.
40 · 40 = 100 · n
Set the cross products equal.
1,600 = 100n
Multiply.
1,600
100n
Divide each side by 100 to isolate
the variable. =
100
100
16 = n
40% of 40 is 16.

10. 6-3 Percent of a Number Try This: Example 1B
Course 2
6-3
Percent of a Number
Try This: Example 1B
Find the percent of each number.
B. 150% of 64
150
100 n 64 =
Write a proportion.
150 · 64 = 100 · n
Set the cross products equal.
9,600 = 100n
Multiply.
9,600
100n
Divide each side by 100 to isolate
the variable. =
100
100
96 = n
150% of 64 is 96.

11. Course 2
6-3
Percent of a Number
In addition to using proportions, you can find the percent of a number by using decimal equivalents.
When you are solving problems with percents, of usually means “times.”
Helpful Hint

12. Course 2
6-3
Percent of a Number
Additional Example 2A: Using Decimal Equivalents to Find Percents of Numbers
Find the percent of the number. Estimate to check whether your answer is reasonable.
A. 9% of 80
9% of 80 = 0.09 · 80
Write the percent as a decimal and multiply.
= 7.2
Estimate
10% · 80 = 8, so 9% of 80 is less than 8. Thus 7.2 is a reasonable answer.

13. Course 2
6-3
Percent of a Number
Additional Example 2B: Using Decimal Equivalents to Find Percents of Numbers
Find the percent of the number. Estimate
to check whether your answer is reasonable.
B. 3% of 12
3% of 12 = 0.03 · 12
Write the percent as a decimal and multiply.
= 0.36
Estimate
5% · 12 = 0.6, so 3% of 12 is a little less than 0.6. Thus 0.36 is a reasonable answer.

14. Insert Lesson Title Here
Course 2
6-3
Percent of a Number
Insert Lesson Title Here
Try This: Example 2A
Find the percent of the number. Estimate to check whether your answer is reasonable.
A. 21% of 50
21% of 50 = 0.21 · 50
Write the percent as a decimal and multiply.
= 10.5
Estimate
20% · 50 = 10, so 21% of 50 is a little more than 10. Thus 10.5 is a reasonable answer.

15. 6-3 Percent of a Number Try This: Example 2B
Course 2
6-3
Percent of a Number
Try This: Example 2B
Find the percent of the number. Estimate
to check whether your answer is reasonable.
B. 6% of 18
6% of 18 = 0.06 · 18
Write the percent as a decimal and multiply.
= 1.08
Estimate
5% · 20 = 1, so 6% of 18 is close to 1. Thus 1.08 is a reasonable answer.

16. Additional Example 3: Geography Application
Course 2
6-3
Percent of a Number
Additional Example 3: Geography Application
The estimated world population in 2001 was 6,157 million. About 40% of the people were 19 or younger. What was the approximate number of people 19 or younger, to the nearest million?
Find 40% of 6,157 million
0.40 · 6,157
Write the percent as a decimal.
Multiply.
2,462.8
The number of people 19 or younger was about 2,463 million.

17. 6-3 Percent of a Number Try This: Example 3
Course 2
6-3
Percent of a Number
Try This: Example 3
The estimated world population in 2001 was 6,157 million. About 60% of the people were above 19 years of age. What was the approximate number of people 19 or older,
to the nearest million?
Find 60% of 6,157 million.
0.60 · 6,157
Write the percent as a decimal.
3,694.2
Multiply.
The number of people 19 or older was about 3,694 million.

18. Insert Lesson Title Here
Course 2
6-3
Percent of a Number
Insert Lesson Title Here
Lesson Quiz
Find the percent of each number.
1. 25% of 8
2. 40% of 110
3. 150% of 96
4. 0.3% of 120
5. Whitmer Middle School has 850 students. If 42% of the students bought lunch on Monday, how many student bought lunch on Monday? 2 44
144
0.36
357